Most small CPA firms will be set up to do both. Even one-woman shops (women are pretty much taking over accounting) will often do your bookkeeping if you pay them.
The question is, do you want to pay for bookkeeping? Learning the basics ain't that hard. Pay your accountant to train you in the basics of Quickbooks. Pay them to set up your QB file with an invoice format that works for your business, and use it! Pay them to set up your chart of accounts. Then stick to that. All you have to do then is enter the checks you cut, and if you have to guess at where to post it, PLEASE put a useful description in the memo field. Use the Invoice feature to enter your receipts and then deposit against the invoices.
That's pretty much it. Then you just turn over your QB file to your accountant at year-end, and they can dig for any info they need to fix your books and do your taxes.
Oh, if you have employees, definitely hire out payroll. Often the accountants will be more efficient at really small payrolls than the payroll service companies. Just ask, they will generally be happy to help you out . . .