https://logentries.com/ has worked out well for us, at least at the small scale we're using it now. Pricing is reasonable.
The important feature for us is S3 archiving. They'll keep your logs online for a certain period of time, and then copy the old ones to S3. You don't have to get rid of anything, and you're still able to keep costs under control.
The important feature for us is S3 archiving. They'll keep your logs online for a certain period of time, and then copy the old ones to S3. You don't have to get rid of anything, and you're still able to keep costs under control.