I don't want a lion cut. can you do a longer length cut?

Lion cut refers more to the shape of the cut than the length - a lion cut leaves the hair on the head, paws and end of the tail. This pattern can be modified - the most common thing I get asked is to leave the whole tail furry, which is no problem. In terms of length, there is really only so long that you can leave the fur.  The way clipper blades work is that the longer the length, the further apart the teeth are. A 10 blade is the standard length that is used on cats. I can do the next two sizes up (the 7FC blade and a 5FC) , but I don't like to go longer due to safety. Cats' skin is generally thinner than dogs and much easier to catch in between wide blade teeth. If your cat is older or matted, I may not be able to do a longer length cut.

Additionally, a shorter cut will last longer. If you are trying to minimize matting on your cat or fur in your house, a shorter cut is a better option as you won't have to have it redone as often.

do you offer flea baths?

No. PLEASE DO NOT USE FLEA SHAMPOO ON YOUR CAT. A small percentage of them can have allergic reactions (I worked at a vet clinic for several years and have seen a cat come in after a flea bath with a severe reaction). Also, a flea bath is now considered an outdated treatment - it has a very low efficacy (ie. it is not likely to clear up your flea infestation), contains much harsher chemicals than newer options and, as stated, can have much more adverse side effects. 

You are much better to spend your money going to your veterinarian and getting proper flea medication - the most common are Advantage and Revolution (which are external treatments) and Sentinel (which is a pill). Please do not buy Zodiac from the pet store - this product is for dogs and can be very harmful to cats (I also saw several bad reactions to this medication during my time at a clinic). I realize that going through a vet is going to cost a little more, but I honestly believe it is the safest and most effective option.  If you have an outdoor cat, you should be seeing your veterinarian once per year anyway to get feline leukemia, rabies and FVRCP vaccinations, as they are highly likely to come in contact with other, unvaccinated animals and are therefore at a higher risk of contracting these diseases. Most vets have a policy that if they've examined your cat in the past year, they will sell you the medication without an exam. 

The difference in how baths vs. vet treatments work: a bath will rinse and kill fleas currently on your cat, but has very little residual efficacy. The vet treatments are absorbed into your cat's epidermis and will provide one month of protection from new fleas. This is important to getting rid of an infestation because there are going to be flea eggs around your place. They will continue to hatch and attack your cats even after the bath. With the vet treatments, these fleas will hatch and die as soon as they land on your kitty since your kitty is still protected. The flea bath does not provide this. Your vet is likely to recommend a two month supply of the treatment as it usually takes a couple of months for all the flea eggs to hatch and die. I'd also recommend a through cleaning of any pet beds or fabric areas where they sleep as well as a good vacuum of your baseboards.