I am wondering if there is any way to even up my bottom kitchen cabinets. Thy seem to be evenly installed it is just that the cabinets to the left of the stove are almost an inch higher than the ones on the right. Should I get a counter top that is a little thicker for the right side Or try to remove the left counter top and cut it down a little? (Just throwing some ideas out there.)
Re: uneven cabinets
Sounds like your floor is not level? Usually when the cabinets are installed either shims are used to level them out or a scribed base frame is used to level them out.
Since you are correcting something that is already installed I would take the least painful path. Whichever run of cabinets is shorter, easier to take out, has less mechanicals (plumbing, electrical, gas, etc) to move around is the one I would adjust. If it is the run that is lower, add the necessary spacer blocks under it. If it happens to be the one that is ~ 1" higher, then depending on the cabinet construction, you may be able to trim that amount around the bottom edge to bring it down to the height that matches the other cabinets. One thing to be cautious of, if you have a dishwasher in that run, don't lower it too much, the DW needs to fit under there when you are done trimming!
Re: uneven cabinets
Prior poster covered most, just a few things to check before you start modifying the countertops or cabinet carcasses:
Are you sure that whole one-inch difference is between the countertops in height now? Before modifying countertops or cabinets double check that the range is actually level They tend to have leveling legs, is there a chance your range isn't level also? Are you sure the countertops as installed are all level depth wise and width wise?
Since you'd be moving the range anyway, use a long level (4' or 5') and compare from countertop to countertop with the range removed from its space. Also check level depth wise with a good 2' level (cheap torpedo levels tend not to be as accurate)) avoid any post-formed edge on the face edge of the countertop when checking depth level). Also check the floor where the range sits when in-place - it might appear level when the range isn't sitting there, but shift when it is loaded (bounce?). Check not only the center area but up near the wall and the existing cabinets.
Many countertops are made with a built up edge which overhangs the cabinet face. Often countertops are attached to the cabinet carcasses from below with fasteners; sometimes they are attached with adhesives alone, sometimes both.
Occasionally wood blocks on the corners of the carcasses and middle on the top or shims are used between the cabinet carcasses and the countertop surfaces*. Sometimes a ledger is installed on the wall to support for example a blind inside corner, you might want to look for and adjust these things (should they exist) before you start making adjustments to the countertop material or the cabinet carcass.
Check the low countertop for level, along its entire length, front to back as well as along the wall near the backsplash and also the face edge, if this run makes an inside corner, it may be that blocks may have shifted or fallen out nearest the range on the short side (or earlier), either between the countertop underside and the carcass or the carcass and the floor. On the other taller side similar spacers/blocks made of pressboard might have swollen up from moisture and lifted? Easiest to look by removing drawers, open doors, and look up from underneath and from the sides when you have moved the range.