[Help Me] Need a hands-free flashlight with good battery life and clip.

Price Range: Willing to pay up to $40 or so, which I hope is flexible enough.

Purpose: I'm a pet sitter so I need something hands-free and lasts a long time!

Battery Type & Quantity: I want something rechargable and replaceable. AAA, AA, and 18650 are fine, though 18650s are probably gonna be too big for my preference.

Size: I'm flexible with size, but smaller size is ideal. Up to 4-5 inches long and up to 3 inches wide (not at the same time lol), just to give myself options.

Type: Handheld with a clip. The hands-free part is the most important which is why I mention it multiple times. Also important, but the light needs to face FORWARD in front of me when clipped into say, my shirt or pocket.

Main Use: I pet sit, so I'll be outside walking dogs or even if I need light walking to and from my car.

Switch Type: I prefer side switches, but tail switches are fine.

Anything Else?: I've done my own research, but I'm by no means a flashlight connoisseur, so I wanted to ask around and get some other opinions!