Vasectomy is a safer procedure than tubectomy. You will require maximum of 48 to 72 hours of rest - considering you are working at a project site; otherwise 24 hours is sufficient.
Regarding tubectomy - your wife can choose between the laparoscopic and conventional methods. Both are equally efficient (failure rate with both is less than 0.5%).
However, laparoscopic method can be done only after 6 weeks of the delivery, and best done by experienced laparoscopist. If the Filshy clips are used, chances of success after recanalization procedure (if required at a later date) are best. Also, recovery time to work is less after laparoscopy compared to conventional method.
Regarding vasectomy, there is the no scalpel technique. However, you have to use additional contraceptive (like condoms) for 3 months after the vasectomy - by whichever method.