Dallas,TX

Sorry. No such thing... You will have to drive into town from any parks. The KOA off of I-20 on Cooper in Arlington is nice. I lived there for a year while working at Baylor in Dallas. To the north there is Lake Lavon which is not too far from Dallas. There is a park in Plano on I-75 but it is really ratty.

I wouldn't call any of these places 'close to downtown', but I guess they are more helpful than my first post :)

Probably a better discussion would be 'which places are easiest to get from to downtown'?
In that case I would say Cedar Hill State Park as the southern route should have less traffic.

They also have updated at least half the park with concrete pads and full hook ups.

Plantation Place in Sunnyvale is our choice, east of Dallas. Much closer and easier access to downtown. Coming and going to Grapevine on 635 is a nightmare during peak times. PP has no amenities but good hook-ups including cable which the Vineyards doesn't have. The Vineyards is a beautiful park and Grapevine is a charming little town. It all depends what you want and are willing to pay for. last time I stayed at The Vineyards it was $65.00 per nt. PP was $195 per week.

BBQ in downtown Dallas is Pecan Lodge, 1010 S. Pearl. Other good BBQ joint is Lockhart Smokehouse, 400 W. Davis. For camping, I prefer Cedar Hill State Park.

Pecan Lodge

Lockhart Smokehouse

Cedar Hill SP

X3 on Traders Village

X2 on Trader's Village.

Treetops, Grapevine and the RV park at Trader's Village are about your best choices. Grapevine is like being in a state park but not from from DFW. Traffic going into Dallas can be a bear from there. Treetops in Arlington is nice but in a congested area a high retail area, but still not too far from I-20. Trader's is close to I-20 and also 360 which gets you to I-30. I usually stay there since it is easier to get in and is easier to get on and off all major hwys that take me somewhere. The flea market on the weekends are a plus. Nice park with a pool and all concrete pads and roads and not bad price.

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Nothing really close to downtown, but we have stayed at Treetops RV in Arlington and found it very nice.

Treetops RV

We have also stayed at Cedar Hill State Park and we like that setting, but it is a bit further out.

Much depends on which part of Dallas you may wish to be near.