I'd seriously look into a decent used S&W 4" model 10. They are out there in the $350 range. Less if you're willing to spend some time looking.
I made the mistake of cheaping out on my first gun, and if I had to do it again, I'd save a little longer. It'll be less expensive than taking the hit trying to trade or sell a 2nd or 3rd tier "save a few bux" gun, and then buying something decent afterwards.
Pocket sized snubbies are NOT a good gun to learn with. I've seen many people at our local range buy one because they think its easy to carry, then go out on the range and develop all kinds of bad habits. These are NOT easy guns to learn with. A mid frame 4" will be far easier to learn the basics on. Master the mid frame, then move on to the small snubby.
A 4" K frame sized model 10 S&W is a breeze to carry provided you get a GOOD HOLSTER, and a GOOD QUALITY belt. Yes, that will cost you additional money, but again , less expensive than expirimenting with 5 different guns, and a half dozen $15 Uncle Mikes "one size fits some" holsters.
Myself , I use Simply Rugged holsters, and a thick heavy leather belt. Nothing from Marshall's or TJ Max is going to cut it here in a belt. Yeah, this set up is going to run you another $100+, but you won't have to do it twice.
Don't make the mistakes I made. Save your money and do it right the first time.
One of my favorite CCW rigs is an old Colt Army Special (early version of an Official Police) which is the Colt equivilent to a S&W molel 10 (mid frame fixed sights) in a Simply Rugged Souerdough Pancake holster with a nice stiff heavy leather belt. Total investment in the whole thing was right around $300 total.