If your site is new, you want to be careful about too many links at once. If your site is old, you can try fast link building and you should be fine. Also, make sure you keep up with the link building. Google doesn't like it if you get 500 links one month and 2nd month, you get 5. Looks very unnatural. So, pick a number and slowly reach that number and stick with it.
For example, lets say you started out with 100 links this month, next month go for 200 links, month after go for 500 link and after 1000. Stay around 1000 for a while and add maybe 100 more the month after. The point is to look natural and grow slowly.
Also, think about those press releases. When they get released, they are distributed all over within 24-48 hours and google won't slap you silly for those backlinks.