Where to get Mailing List service from?

Thing is, im planning to put up a mailing list.

My actual plan is to make my own mailing list program, however, due to needing it pretty much right now (in a week prolly, and sooner the better) i guess i just have to use someone elses mailing list service.

So now im asking your help in giving me some good ones.

Heres the requirements.

Cheap, or only couple of USDs, if costs, then preferably payable by paypal.

Plan is to use it for maybe only 1 month.

If i can make a custom main page where people can join, it would be great, since then i could say "This mailing lsit is only temporary, while you join this, you also give permission for me to add you to the mailing list i will open later, that is exactly same but resides in its own domain"

And that way i wouldnt be restricted to just sent mailing list members a message that "this mailing list is changing its residence, please rejoin" to keep it legal.

Since plan is to switch mailing list memebers to that new mailing list at later point, it is preferred that there is somewhere easily seeable a list of their emails.

opther than that i cant imagine at this point, but if you think theres something im still missing, feel free to add so others can answer.

So shortly.

Temporary mailing list, that is supposed to be at that place for less than month, and hopefully is free or ad supported or costs only say 2 USD to use for that one month and is payable by paypal.