How to filter Request search with Laravel and Collection

Hi Everyone: I'm kind of stuck with something.

The Problem: I'm trying, with a html form, building a search feature to my "Property" model. There are several filters, like price, property_type, and so on. One of the main filters, is where is located this Property.php; A property_type could be a warehouse, a house, an apartment. This is the main issue; a house belongs to a Neighborhood.php, but an apartment belongs to a Building.php and Building.php belongs to a Neighborhood.

I other words:

• a) If it is a house: Property->neighborhood()->city()
• b) If it is an apartment: Property->building()->neighborhood()->city()

My Models

// Property.php
class Property extends Model{
 public function building()
    {
        return $this->belongsTo('App\Building');
    }

    public function neighborhood()
    {
        return $this->belongsTo('App\Neighborhood');
    }
}

<!-- The search form -->


<form method="GET" action="">
    
    <select class="form-control" name="city_id" id="city" data-required>
        <option value="">Select a state</option>
        @foreach($cities as $city)
            <option value=""></option>
        @endforeach
    </select>
    <select class="form-control property_type" name="property_type"
            id="property_type"
            data-required>
        <option value="">Select an option</option>
        <option value="house" >House</option>
        <option value="apartament" >Apartament
    </select>

    <!-- some other filters -->

    <input type="checkbox" id="sell" name="sell"><label>Venta</label>
    <input type="checkbox" id="rent" name="rent"><label>Arriendo</label>

    <button type="submit" class="btn btn-primary">Buscar</button>
</form>

// My PropertyController

public function search(PropertySearchRequest $request)
    {

        $data['cities'] = City::all();

        $prices = explode(",", $request->price);

        /*Obtener por rango de precio*/


        $properties = Property::where('price', '>=', $prices[0])
            ->where('price', '<=', $prices[1])
            ->where('property_type', $request->property_type);


        if($request->rent == 'on' && $request->sell == 'on'){
            $data['properties'] = $properties->paginate(8);
            return view('properties.search', $data);

        }

        if($request->rent == 'on'){
            $propiedades = $properties->where('rent', true);
            $data['properties'] = $properties->paginate(8);
            return view('properties.search', $data);

        }

        if($request->sell == 'on'){
            $properties = $properties->where('sell', true);
            $data['properties'] = $properties->paginate(8);
            return view('properties.search', $data);
        }


    }

As you can see, I can filter, everything but City where the preporty belongs

QUESTION: HOW CAN I ACHIEVE THIS AND PAGINATE THE RESULT IN A VIEW?

First Approach:

 $properties = $properties->filter(function ($property, $key) use ($request) {
            if ($property->building_id) {
                return $propiedad->building()->first()->neighborhood()->first()->city()->first()->id == $request->city_id;
            } else {
                return $propiedad->neighborhood()->first()->city()->first()->id == $request->city_id;
            }

        });

But I couldn't paginate this

Can anybody help me, please?

via Chebli Mohamed