I'm looking to buy a new scope for long range shooting but don't want to spend more than a few hundred dollars. I don't really know much about optics but I just want something that I can shoot up to about 1000 yards with

vortex diamondback tactical 6.5-24x50 ffp ...snipershide loves them.  you can get them for 350 or so and for the money, you won't beat them

https://www.pewpewtactical.com/best-long-range-scopes/

https://www.amazon.com/Vortex-Optics-Strike-4-24x50-Riflescope/dp/B002SCUWGK/ref=as_li_ss_tl?ie=UTF8&qid=1544124157&sr=8-3&keywords=strike+eagle+4-24&linkCode=sl1&tag=pewpewtac-20&linkId=25d40ce09c72856c70b7b8f4e581934c&language=en_US

Athlon Argos is also a good value scope - https://www.amazon.com/Athlon-Optics-Riflescope-Illuminated-Reticle/dp/B0157N4640/ref=sr_1_14?crid=CQRQ3AGFCEDX&dchild=1&keywords=vortex+first+focal+plane&qid=1579820523&sprefix=vortex+fi%2Caps%2C262&sr=8-14

I vote for Arken Optics EP-4 6-24x50 Scope, a good long range hunting scope. And it only costs you about $600. You can give it a try from their dealer: https://www.hancockarmory.com/arken-optics-ep-4-6-24x50-ffp-riflescope_p0139.html

I've owned a few Nikon Buckmasters and Prostaff scopes for years, and those have served me well enough.  Pretty sure I read Nikon discontinued their scope lines, so you might find some deals on those.  However, the crosshairs on most of their scopes are designed more for hunting than for precision work, it seems.

I have been transitioning away from those scopes to SWFA SS scopes - currently have two of their 16x42 mil quad scopes, and I love em and plan to add more.  Friend liked mine enough he also bought one.   I thought I might miss the ability to have a wide FoV, but I realized that I have not used the wide end of my zoom range a single time on all but one scope while shooting paper (which is all I do).  I'm not sure how the SWFA will do for 1000yd, since I've only shot to 200 with mine, but they are seriously nice scopes for the money.  I feel they will serve me well until I have reason to go to the 4 figure scopes.  If you wait for a sale, you can likely get one under $270, and normal price is about $300.  It uses a 30mm tube, so make sure you get the right rings for it, and I suggest adding the hood and caps.

My only real complaint with my 16x scopes is that the eye relief can be rather unforgiving, so proper, consistent cheek weld is critical. The 16x and 20x are supposedly much less forgiving than the other SWFA SS scopes.