A great choice for a home gun, especially for someone new or unfamiliar to shooting, would be the venerable S&W 'M&P' .38 Special, also known for some time as the Model 10. You can find numerous police trade-in's at pawn shops and gun stores for $175 - $250. A local gun store has a new one at $420 (Yes, they are still available new!). The most common size is the 4", perfect for home, while the less common 2" makes a great CCW. They are blued six shooters with fixed sights. Grips range from dimunitive wood boot service grips to the excellent current stock Uncle Mike's Combat grips. Great actions - even the 1/03 made 2" I bought new last year. In addition, recent examples (Check with S&W's 800# Customer Service if in doubt...) are .38 Special +P rated.
The Ruger SP-101 and GP-100 series are also excellent - as is the S&W M66. I must, however, caution against .357 Magnum use 'in the home'. The possible 'collateral damage', both to your hearing and possible victims of your errant rounds from discharging a .357 Magnum indoors, can be considerable. The high speed Magnum rounds can travel quite a distance after punching through your sheetrock and siding... The heavier rated revolvers can always 'just' be loaded 'down' to .38 Special levels... highly effective in it's own realm as a 'man-stopper'. Recall that the .357 Magnum was developed in the mid-thirties for J. Edgar's 'G-Men' to shoot through car doors at fleeing felons. Unless you have bad guys (or demons) hiding in your fridge, freezer, or washer/dryer, you really don't need them at home.
Oddly, one must employ what one is 'comfortable' with. A case in point: My wife relinquished her CZ-75B 9mm semi-auto last year, and we sold the last of our bottom-feeders. She then 'acquired', much to my chagrin as I had bought the M10 snubby as a house gun, my 4" M625 (.45ACP)! I had put slick Hoque pao ferro monogrips on it - she 'liked' the feel & look of the grips. The added weight of the heavier revolver (43 oz vs the ~31 oz 2" M10) more than compensates for the recoil of the .45 ACP's. The key is familiarity... gained by comfortable time at the range. Always shoot what you will carry, too. I will miss my 625...
Stainz