If you plan to edit your video in Premiere Elements, Jan, you do not want to use those types of cameras. Video from still cameras rarely works without problems in Premiere Elements projects.
If you're serious about shooting in HD, much better choices include HDV tape-based camcorders, ideally, or AVCHD camcorders, which demand a lot of computer power but shoot great video. These camcorders start at around $600 or so though.
If you want an inexpensive way to shoot HD, you should look into pocket HD cameras like the Flip. These cameras are relatively invexpensive and come with their own basic video editing software. You likely won't be able to edit their video either in Premiere Elements -- but for basic HD, they shoot very nice video and can easily upload that video to YouTube, etc.
well I will probably still use my miniDV camera but if I only have my digital camera with me, I want to be able to use that videorecording also.
I understand that there can be difficulties - still I wonder if someone knows of HD format in digital compact cameras that work better in PrEl than others?
I have looked at the Sony digital compact HX5V which is stated to record video in HD in AVCHD - if I understand you right Steve - then this camera could/should work. (although quite expensive)
Anyone who has tested the digital compact cameras with HD - especially AVCHD ones in Premiere Elements?
Again, those pocket HD cameras will not likely work with Premiere Elements. None of them.
AVCHD camcorders will work, but usually require a quad core processor with 4 gigs of RAM to power them.
If you enter AVCHD in the "Search Forums" box to the right & up, you will find MANY message threads... lots of problems and, as Steve says, the need for a really powerful computer
But, also read Convert AVCHD to HDV http://forums.adobe.com/thread/390605?tstart=0