Start with a budget.
Then see what fits. Pick one, and download its manual from the manufacturer's website.
I randomly went to
Canon and downloaded the manual for a mid-range consumer camcorder - HF M400.
searched for "Slow". Refer to page 58.
Then Sony. HDR-CX260V/B.
Page 36. This camcorder also has "Smooth Slow Record", but only for a short burst so may not be useful to you.
Then Panasonic. HC-V500M.
Basically, all can. Start the scene playback, then pause. Then press the button to move forward at a slower speed. With the camcorder's built-in screen as small as it is, there may be benefit co connecting it to an external screen. An easy, portable way to do this is to use a portable DVD player (battery powered) that has "AV-In" capability. Connect the camcorder's AV-out to that... You will probably need to get a female-female RCA adapter to connect the cable from the camcorder to the cable from the DVD player's AV-In.
This uses a different angle. Rather than capture at 30 fps and playback at a slower frame rate, the GoPro cams can capture at a high frame rate and playback at 30 fps. See page 18. Basically, capture video at 48, 60 or 120 frames per second. Playback in the camcorder is 30 fps. However, see "Suggestions", below... 960-48 fps is probably the best video quality for slow motion capture - though 720-60 is a more standards-based combination. If you want to use the external portable DVD monitor tip, you will need to get the optional AV cable from GoPro.
* Do not capture video when the camcorder is handheld. Always use a tripod, chair... anything but not handheld.
* Record at highest video quality. This will be least video compression. Fast action and high compression video do not get along. By following the first suggestion, you limit movement. This is why you don't want to shoot handheld.
* If you are recording inside, add light. Otherwise, good, bright, sunshine should work great.