Most videophiles will have on their wish list a TV that accepts and displays 1080p@60 fps. Some will find that their budgets only permit a 720p@60 fps TV. All U.S. TV's both standard def. and hi-def put 60 fps (or 60 fields per second if not progressive) on the screen.
Meanwhile both the Blu-Ray and HDDVD hi-def disks provide for movie source enough material to recreate the usual 24 fps of the film as 1080p. Non-film source has enough material for 1080i (equivalent of 30 full frames per second).
Either or both of the player and the TV will (at least one or a dongle in between must) convert the 24 fps of the source to the 60 fps of the display by repeating frames (imparting 3-2 pulldown). Sometimes 1080i is used as an intermediate step by the player or TV even for film source. If the video exists as 1080i at any stage and the TV is non-interlaced, then full video frames must be assembled (using de-interlacing) at some point in the video processing. You will have to compare the results of sending the video to the TV as 1080i or 1080p@60 or 1080p@24 (or 720p@60 for 720p TV sets) to see where the best de-interlacing and the best frame rate conversion was done and therefore what looks best.
All hi-def DVD players offer 1080i as an output choice. Some offer 1080p@60 and some offer 1080p@24 outputs.