We used Gerber training pants for our girl when it was time to transition from cloth diapers to potty training. They are thin and not as absorbent as the fancier types, but they are extremely inexpensive and I found that during the potty training process it was absolutely a lifesaver to have about a dozen pairs of pants on hand (maybe 2 dozen) because then I could just put a new pair on her when she got wet and if there was a terrible mess I could just throw them out without feeling bad. The more absorbent and waterproof ones were much too expensive for me to be able to have as many as I needed. The gerbers were also softer, and more like underpants. Whenever I put anything that resembled a diaper on her she would just use it like a diaper, in more underpants-like items she was more likely to use the potty successfully. For this reason we could never use pull-up type pants during the day because she would just figure that was a diaper and go for it. I also think that the lower absorbency was a benefit in another way, the uncomfortable sensation of pee running down her leg was definitely motivating when it came to making it to the potty in time.
When we first started out I would occasionally put 2 pairs of gerbers on her at once. And a couple of times, like in the car, I would put the gerbers on her and then put a diaper cover over them. The diaper cover could be reused with just a quick wipe or rinse between accidents so you don't need nearly as many and they are less expensive than the training pants.
Good luck.