Is it the camera or my photography skills, I can take a good 35mm picture though?
Sounds like mostly your skills are OK - although one has to adapt to any camera and some of the idiosycrasies of digicams do need getting used to.
Shutter lag - or more accurately the delay between pushing the shutter and picture taken - is normally the biggest compalint -
digicams have improved a lot over the years - but there is still a significant delay - in the order of about 1/2 sec for focussing (the digicam also sets the exposure during that time).
This unfortunately is intrinsic to the beast.
Even dSLRs have NON-negligible delays - focussing is still in the order of about 1/2 sec (some can be as fast as 1/4-1/3 sec)
depending on the light level.
(dpReview's otherwise excellent reviews singularly FAIL to give the delay for focussing on their dSLR reviews -
whereas Imaging-Resource.com, and Popular Photography magazine (also PopPhoto.com) both do, and the results can be revealing).
The technique to overcome this, is to Pre-Focus the camera by an initial HALF-depression of the shutter button and hold -
then when the moment's right, press rest of the way -
then most digicam's true shutter lag is reduced to better than 0.1 sec - fast enough to catch most action - then a plain P&S digicam can be as fast (or slow) as any multi-hundred$$ dSLR.
I know, I do this all the time.
If you still want a digicam - then please look at my post #30 (link) previously cited - and stick with a Canon PowerShot A-series (good value).
The cheapest low price from an on-line vendor is about $112 shipped for a Canon A460 - or bid on an A530 on eBay (those lower prices I saw were for used ones - the A530 sells mostly for above ~$120 for a new one, but that is still very good value).
For better expsoure control options such as shutter and aperture priority as well as full manul control then look at the Canon PowerShot A570IS low priced at below $200 shipped -

or bid on an A540 on eBay
Hope that helps,
--
Vincent
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