I have about 4 suitcases so I plan on just shipping it over by mail since I could never carrying all that in a million years lol. Thanks for the advance for the jacket! I would have gone in a t-shirt. I completely forgot about the whole temperature thing lol.
You might want to re-think this. Quoting from the back of the national timetable:
The free checked baggage allowance is three pieces per passenger. The maximum weight is 50 pounds (23 kg) and the maximum size is 36"x36"x36" (900x900x900 mm). Three additional bags will be accepted at $10.00 per bag. Please arrive at least 30 minutes prior to train departure to check your luggage.
I would go for a good bit more than 30 minutes at Penn Station. How are you getting to Penn Station? That might be the problem with your luggage. The other problem might be on the LA end depending upon how you are gettion from the station to where you are going, but I seen none on the train.
I would also check some of the bags. Amtrak has a baggage car on both your trains and it's free to check your bags, so you might as well take advantage. Some not-so-important things can and, IMO, should be checked. I've checked some big and hefty bags on Amtrak and I had no problem.
You could also ask for Red Cap service. This service is officialy free but we usually tip them $3. They will come around in motorized carts with seats in front. You can put your bags in the cart and ride it straight to the platform. Some stations don't have carts, but Red Caps can still carry bags for you. If they do this please tip $5.
BTW, I've found shipping stuff over the mail to be a big hassle, so I avoid it as much as possible.