According to the specs on the T3i it records 1280x720 @ 60fps and not 1080p.
"Three Recording Sizes
Full HD Video is captured at 1920 x 1080 resolution at 30p (29.97), 24p (23.976) or 25p frames per second, for up to 4GB per clip. Videos are saved as .MOV files and can be viewed in Full HD with HDMI output. Other recording sizes include HD at 1280 x 720 (50p/60p (59.94) fps) or SD/VGA at 640 x 480 (30p (29.97) and 25p fps)."
Source:
http/www.usa.canon.com/cusa/consumer/products/cameras/slr_cameras/eos_rebel_t3i_18_55mm_is_ii_lens_kit#Features
However, the Sony HDR-CX380 will record 1920x1080 @ 60fps.
Do you plan on recording continuously for more than 30 minutes? If yes, then the T3i may not be the best choice. Usually, there is about a 30 minute recording limit with a DSLR and you have to watch out for overheating. If you're not shooting continuously for more than 30 minutes then this shouldn't be an issue. Will you be stationary or mobile while recording? If mobile, you might want to factor in the weight of the camera.
Other camcorders to consider are:
Canon VIXIA HF R400 Full HD Camcorder (http
/www.bhphotovideo.com/c/product/909788-REG/Canon_8155b004_VIXIA_HF_R400_Full.html)
Panasonice HC-V520 Live Streaming HD Camcorder (http
/www.bhphotovideo.com/c/product/910273-REG/panasonic_hc_v520k_hc_v520_live_streaming_hd.html)
Canon 8GB VIXIA HF R40 Full HD Camcorder (http
/www.bhphotovideo.com/c/product/909790-REG/Canon_8153b001_8GB_VIXIA_HF_R40.html)