I don't know Russian, the sound and ending changes are very predictable for a Pole that heard the language several times, but there's lots of false friends and they often use different root words than we do. But I'm pretty sure it is the same in this case.

In Polish "brać" = "to take" and prefix "wy-" adds aspect of movement out of some place so "wybierać" is literally sth like "to take out" and means "to choose".

"Wybór" is noun made from that verb, and "wybory" is the plural of that noun, so it literally means "choices", but is most often used to mean "elections".

"wybier mienia" from that song would be "wybierz mnie" in Polish.

As for disco polo it's basically Polish country - few people listen to it unironically and say so publicly (epecially outside countryside), but play it during any party and everybody will dance. There's no wedding in Poland without disco polo.

As for recommendation sorry for wall of text in advance :) I didn't know how to choose so I went chronologically.

60s and 70s were all about "big beat" which was basically Polish rock'n'roll. Some recommendations: Czerwone Gitary, Czesław Niemen, Skaldowie, Karin Stanek. https://www.youtube.com/watch?v=wTjLZwpmufw https://www.youtube.com/watch?v=r1CM68Z3z0A https://www.youtube.com/watch?v=k2WtBpMkxz8 https://www.youtube.com/watch?v=lW_XYk-Xc94 https://www.youtube.com/watch?v=MVFvIK7IRkw

In 70s-80s there was this weird genre that I like called "poetic song" that turned into "student's song"/"touristic song".

It's started with Kaczmarski as something like Vladimir Vysocky or Bob Dylan - lyrics are more important than music, one guy and a guitar. I especially like Jacek Kaczmarski songs, there's also Łapiński, Gintrowski, Kleyff and others, and then the touristic songs took over and instead of politics and angst students started singing about how pretty the mountains are and how nice it is to camp in them, but the music style is still similar. The best examples are Wolna Grupa Bukowina and Stare Dobre Małżeństwo, but there's many more. It's very obscure genre, by the way, except for a few songs by Kaczmarski that turned into anthems because of politics in late 70s early 80s.

Kaczmarski story is very interesting. He wrote a song called "Mury" in late 70s (inpired by Lluis Llach protest song about Catalonia freedom) which was supposed to be about political movements taking over art from artists with good intentions and turning on artists and anybody who isn't with them eventually. That's the song: https://www.youtube.com/watch?v=hwD6i9eOiYE
Solidarity took that song as its anthem and changed the last verses because it was "too pessimistic". Few people realize now what it was even about, mostly they think it was only about destroying communism. Basically it's a song that predicted what will happen with it :)

Other "poetic songs": https://www.youtube.com/watch?v=-38k_Jom2eg https://www.youtube.com/watch?v=nMmfE9PkNpA

The touristic subgenre: https://www.youtube.com/watch?v=Lt03Q4EDHYQ https://www.youtube.com/watch?v=rcxpdLbw3zM https://www.youtube.com/watch?v=8-1q80-m-yo https://www.youtube.com/watch?v=nfp-DRAUN8E

80s and early 90s was all rock (because it's a protest genre and there were lots of things to be raging against). Perfekt, Maanam, Lady Punk, Budka Suflera, Kombi, Lombard, Kazik. Examples: https://www.youtube.com/watch?v=661sTP275nE https://www.youtube.com/watch?v=G7OgVpWQs5s https://www.youtube.com/watch?v=nd3Yp4aUU7E https://www.youtube.com/watch?v=Z3Nxamh3-t0 https://www.youtube.com/watch?v=x3kicEsx7g0 https://www.youtube.com/watch?v=IuqVcDyOAoY https://www.youtube.com/watch?v=esu5UYDFBew

The first song refrain is "Chcemy być sobą" (we want to be ourselves) but people sung "Chcemy bić ZOMO" (we want to beat up ZOMO). ZOMO was communist political milita that beat up A LOT of people to pacify protests and shut down concerts.

90s-00s was mostly about pop and rock-lite by bands like Wilki, Varius Manx, De Mono, T.Love, Elektryczne Gitary. It's my youth so I'm nostalgic about these but they aren't that good in general: https://www.youtube.com/watch?v=Xby1imQDs3E https://www.youtube.com/watch?v=leYyu4wH4dQ https://www.youtube.com/watch?v=2SN_ZH75e68 https://www.youtube.com/watch?v=guJ25FxCwmY https://www.youtube.com/watch?v=ghh0ttnRdiQ

Best Polish female singer of all time also made career in 90s - Edyta Górniak. It's criminal that she didn't won Eurovision in 1994 https://www.youtube.com/watch?v=PL5rmmpiHp8

Recently Polish hip-hop is pretty good (but it's 90% in the lyrics so you'd have to have translations and I don't know how well it translates). I recommend Paktofonika, Kaliber 44, Łona, Quebonafide, Taco Hemmingway, Mata. Paktofonika was the band that started serious hip-hop in Poland, they are till considered the best, especially "Jestem Bogiem" (I am god). Important culturally too. Here it is: https://www.youtube.com/watch?v=cq2paBCLSSc