If the blisters appear after a month or so, the problem is probably poor surface preparation. Unless such films are removed before painting, they can cause blistering. Also, glossy surfaces must be given a light sanding, so the new paint will grip well. Peeling is the curling of large pieces of dried paint and is merely a later manifestation of blistering. Severe peeling might also indicate use of a poor primer, or a heavy film of dirt, grease or dust.
Prevention involves sanding or wiping the old finish with a deglossing liquid.
Then follow the manufacturer's directions as to what primer might be required before applying the top coat of paint. Alligatoring is a crackling and flaking of the paint in a square pattern. It can result from applying paint over a previous coat that had a high gloss finish that was not sanded, use of the wrong primer or use of old paint, particularly paint that's been stored in an unheated space and allowed to freeze. To repair the condition, sand the surface smooth and apply the proper primer before applying a new top coat. Checking is a series of long lines, with shorter check marks crossing between, usually caused by the wood underneath expanding and contracting.