I've been using Sally Hansen "Hard As Nails" as my base coat since the summer and my nails haven't been peeling nearly as much. (My nails will peel if I don't change my polish and use my elf cuticle pen all over my nails every few days.) Actually, I've stopped trying other base coats because my nails will peel after a day! If it's not broken, why fix it?
For topcoat, I've been using butter LONDON's "Hardwear" quick topcoat. It is a bit expensive though. I've been using this since November, with countless manicures, and see how much is left? I can see this lasting for a long time. I picked this up after I left my Sally Hansen "Insta Dri" open for a whole night and it got really gunky. Actually I picked up a different Sally Hansen topcoat that only plays nice with Sally Hansen polishes first. So glad I purchased this!
What's your base coat and topcoat combo?