To add to the advice already given…
Many people start out on this hobby being quite satisfied with finding anything “metal”, and the easiest thing to target(and get a bunch of) is modern money, known as “clad” because of the copper/nickel sandwich they are made of. As time moves on and you grow into the hobby, many people find themselves looking to advance to a different level….they look ONLY for old coins. This is where the difference in between a “good” machine and a “GREAT” machine makes a huge difference, especially if you are planning on hunting public ground. Metal detectors have been around in usable form for 50 years, so you have to either settle for what’s been dropped recently(clad) or you have to become very good to retrieve coins either quite deep or coins mixed with heavy trash and iron….or BOTH. I will GUARANTEE you that when you find your first SILVER coin, the game will change. Immediately. You will not really want to collect modern “lunch money”, you will very likely catch “old coin fever”, and IF you do, you will want to have made an important decision about what metal detector to buy in the first place long ago, which is NOW. As has been said, the correct choice in my mind for your described area and potential choice of targets in the future, a Silmultaneous Multi Frequency machine will be what will serve you well. They have the ability to “handle” nastier ground conditions and also have excellent target I.D. ability.
You must also consider how much weight your arm will be able to swing comfortably for an hour, two hours, 5 hours….as the progression continues you’ll be in the field longer because, well…that’s just what happens. There are 3 fairly major players in the SMF game. Minelab, XPDeus2 and Nokta. The XP Deus2 and the Nokta Legend are the 2 very new releases, with the Minelab machines being around the longest. You’ll want to do a fair amount of YouTube watching about all of these machines to look at specs, see live performances and decide which one might be the right one for what you are going to be doing, now AND in 5 years.
Being a Minelab user since 2015, I can attest to their outright MAGNIFICENT performance in finding deep old coins in difficult conditions. HOWEVER….I am keeping my mind open about the newly minted XP Deus2, though it’s MSRP does come in at around 1,500$. It is ridiculously LIGHT and FAST, and from what has been posted on YouTube so far, it will see DEEP coins quite well. You can either turn it on and go hunting or fiddle with it until the end of time, which allows a great “growth” potential. The same can be done with the Minelab and Nokta to a certain degree, but the XP looks outta sight. I’m not selling, just telling. And I am a HARDCORE Minelab guy.
Whatever you decide…keep in mind that when things are expensive, it’s generally for a good reason(s). Good luck in your search!