I'm going to put in a plug, based on my personal experience, for Vimenpaq. I switched to them per a recommendation at this site on account of the fact that my former courier, Logicpaq, refused to take responsibility for lost packages, make up all manner of lies, subterfuges, etc.
Vimenpaq is a step above. The UI of the website is clean and meticulous. For a given package you can see details for every point that the item was scanned in with the exact time. You have a choice of pickup venues. I chose Sambil Mall. The online customer service, however, is mediocre. I've probably spent about RD$ 40,000 on about 60 or so packages and they have not lost one item. You can also pay with debit card.